The stochastic data envelopment analysis (SDEA) was developed considering the value ofinputs and outputs as random variables. Therefore, statistical distributions play an importantrole in this regard. The skew-normal (SN) distribution is a family of probability densityfunctions that is frequently used in practical situations. In this paper, we assume that the inputand output variables are skew-...

We study the number of white balls in a classical Pólya urn model with the additional feature that, at random times, a black ball is added to the urn. The number of draws between these random times are i.i.d. and, under certain moment conditions on the inter-arrival distribution, we characterize the limiting distribution of the (properly scaled) number of white balls as the number of draws goes...

Pseudo random number generators (PRNGs) are the basic input to the stochastic selection, recombination, and mutation operations of genetic algorithms (GAs). Although it does not seem like a crucial decision, recent studies suggest that the choice of PRNG can affect the performance of GAs. The objective of this paper is to study the effect of PRNGs on a simple GA, and to identify the components ...

Let red and blue points be distributed on R according to two independent Poisson processes R and B and let each red (blue) point independently be equipped with a random number of half-edges according to a probability distribution ν (μ). We consider translation-invariant bipartite random graphs with vertex classes defined by the point sets of R and B, respectively, generated by a scheme based on...

A random graph model with prescribed degree distribution and degree dependent edge weights is introduced. Each vertex is independently equipped with a random number of half-edges and each half-edge is assigned an integer valued weight according to a distribution that is allowed to depend on the degree of its vertex. Half-edges with the same weight are then paired randomly to create edges. An ex...